Home
Class 12
MATHS
Show that the polynomial 9x^(9)+2x^(5)-x...

Show that the polynomial `9x^(9)+2x^(5)-x^(4)-7x^(4)-7x^(2)+2` has at least six imaginary roots.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 20 (UNSOLVED)

    FULL MARKS|Exercise PART - III (III. Answer any seven questions. Questions No. 40 is compulsory.)|10 Videos

  • SAMPLE PAPER - 20 (UNSOLVED)

    FULL MARKS|Exercise PART - IV (IV. Answer all the questions.)|14 Videos

  • SAMPLE PAPER - 20 (UNSOLVED)

    FULL MARKS|Exercise PART - IV (IV. Answer all the questions.)|14 Videos

  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART -IV (Answer the questions)|11 Videos

  • SAMPLE PAPER - 5

    FULL MARKS|Exercise PART -IV|13 Videos

Similar Questions

Explore conceptually related problems

Show that the polynomial 9x^9+2x^5-x^4-7x^2+2 has at least six imaginary roots.

Show that x^5-2x^4-x+2 has atleast 2 imaginary roots.

Show that 3x^9-10x^5+3x^4+2x^2+7=0 has at least 6 imaginary roots.

Show that the equation x^9 - 5x^5 + 4x^4 + 2x^2 + 1 =0 has at least 6 imaginary solutions.

Prove that there is a zero of the polynomial 2x^(3)-9x^(2)-11x+12 in the interval (2,7) given that 2 and 7 are the zeros of the polynomial x^(4)-6x^(3)-11x^(2)+24x+28 .

Solve: x^(4)-7x^(3)+8x^(2)+8x-8=0 given 3-sqrt(5) is a root.

Show that x + 4 is a factor of x^(3) + 6x^(2) - 7x - 60

The sum of 5x^(2) ,7x^(2) ,8x^(2) ,11x^(2) and 9x^(2) is …………..